-n/3=4
-n/3 x 3=4 x 3
-n=12
-n/-1=12/-1
n=-12
5(x - 6) + 4 = 7x - 4
5x - 30 + 4 = 7x - 4
5x - 26 = 7x - 4
5x - 26 + 4 = 7x
5x - 22 = 7x
-22 = 7x - 5x
-22 = 2x
-22 / 2 = x
-11 = x
x = -11 is the solution to the given equation
(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
Answer:
200 people
Step-by-step explanation:
Let: the number of people who surveyed be: x
Therefore, (160/x) x 100=80%
=> x=(160x100)/80
=>x=16000/80
=>x= 200
Thus, 200 people surveyed.
Mark as brainliest
Answer:
<h2>
width = 3 feet</h2>
Step-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
now , if the door is 7 feet high then it’s width is equal to :
